Given numbers are 498,912,153,516,214

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 498,912,153,516,214 is 17762142096.

Find LCM of 498,912,153,516,214 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 83 x 76 x 51 x 43 x 107 = 17762142096

Therefore, the lowest common multiple of 498,912,153,516,214 is 17762142096.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

498 x 912 x 153 x 516 x 214 = 7673245385472

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

498 : 1, 2, 3, 6, 83, 166, 249, 498

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

153 : 1, 3, 9, 17, 51, 153

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,912,153,516,214, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

912:2x 2x 2x 2x 3x 19

153:3x 3x 17

516:2x 2x 3x 43

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7673245385472/(1x432)

LCM = 7673245385472/432

LCM = 17762142096

Thus, we can understand that the LCM of 498,912,153,516,214 is 17762142096.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 678, 643, 391, 445, 653
• LCM of 122, 708, 357, 459, 169
• LCM of 976, 281, 214, 912, 369
• LCM of 323, 711, 447, 339, 715
• LCM of 868, 172, 737, 380, 849

1. What is the LCM of 498, 912, 153, 516, 214?

Answer: LCM of 498, 912, 153, 516, 214 is 17762142096.

2. How to calculate the LCM of 498, 912, 153, 516, 214?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 498, 912, 153, 516, 214.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.